Results 11 to 20 of about 78,251 (234)
The Lyapunov matrix equation. Matrix analysis from a computational perspective
, 2015 Decay properties of the solution $X$ to the Lyapunov matrix equation $AX + X A^T = D$ are investigated. Their exploitation in the understanding of equation matrix properties, and in the development of new numerical solution strategies when $D$ is not low rank but possibly sparse is also briefly discussed.
Simoncini, Valeria
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Weak disorder expansion for localization lengths of quasi-1D systems [PDF]
, 2004 A perturbative formula for the lowest Lyapunov exponent of an Anderson model on a strip is presented. It is expressed in terms of an energy-dependent doubly stochastic matrix, the size of which is proportional to the strip width.
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Construction of Hierarchical Matrix Lyapunov Functions
Journal of Mathematical Analysis and Applications, 1994 Consider the differential system (*) \(dx/dt =f(t,x)\) having \(x=0\) as unique stationary solution. Assume that there exists a decomposition of (*) in the form \[ dx_1/dt =f_1(t, x_1) +h_1(t,x_1, x_2),\;dx_2/dt= f_2(t,x_2) +h_2(t,x_1,x_2). \tag{**} \] Furthermore, assume there exists a decomposition of the systems \(dx_k/dt= f_k(t,x_k)\), \(k=1,2 ...
Martynyuk, A.A. +2 more
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Lyapunov Exponents for Some Isotropic Random Matrix Ensembles [PDF]
Journal of Statistical Physics, 2020 A random matrix with rows distributed as a function of their length is said to be isotropic. When these distributions are Gaussian, beta type I, or beta type II, previous work has, from the viewpoint of integral geometry, obtained the explicit form of the distribution of the determinant.
P. J. Forrester, Jiyuan Zhang
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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Bound on Lyapunov exponent in $$c=1$$ c=1 matrix model
European Physical Journal C: Particles and Fields, 2020 Classical particle motions in an inverse harmonic potential show the exponential sensitivity to initial conditions, where the Lyapunov exponent $$\lambda _L$$ λL is uniquely fixed by the shape of the potential. Hence, if we naively apply the bound on the
Takeshi Morita
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Lyapunov spectra of periodic orbits for a many-particle system [PDF]
, 2001 The Lyapunov spectrum corresponding to a periodic orbit for a two dimensional many particle system with hard core interactions is discussed. Noting that the matrix to describe the tangent space dynamics has the block cyclic structure, the calculation of ...
Dettmann, Carl P. +2 more
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Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]
, 2002 The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner +43 more
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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On the Ψ−uniform asymptotic stability of nonlinear Lyapunov matrix differential equations [PDF]
ITM Web of Conferences, 2022 This paper deals with obtaining (necessary and) sufficient conditions for Ψ− uniform asymptotic stability of solutions of nonlinear Lyapunov matrix differential equations.
Diamandescu Aurel
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